A nurse is preparing to administer esmolol 50 mcg/kg/min by continuous IV infusion to a client who weighs 110 lb. Available is esmolol 2.5 g in dextrose 5% in water 250 mL. The nurse should set the IV pump to deliver how many mL/hr? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.)
Explanation & Rationale
Convert the client's weight from pounds (lb) to kilograms (kg). Weight in kg = 110 lb / 2.2 lb/kg = 50 kg. Calculate the desired dose in micrograms per minute (mcg/min). Desired dose (mcg/min) = Desired dose (mcg/kg/min) × Weight (kg) = 50 mcg/kg/min × 50 kg = 2500 mcg/min. Convert the desired dose from micrograms per minute (mcg/min) to milligrams per hour (mg/hr). Desired dose in mg/hr = (2500 mcg/min / 1000 mcg/mg) × 60 min/hr = 2.5 mg/min × 60 min/hr = 150 mg/hr. Determine the concentration of the available esmolol solution in milligrams per milliliter (mg/mL). Convert grams (g) to milligrams (mg): 2.5 g = 2.5 × 1000 mg = 2500 mg. Available concentration = Total medication (mg) / Total volume (mL) = 2500 mg / 250 mL = 10 mg/mL. Calculate the IV pump rate in milliliters per hour (mL/hr). IV pump rate (mL/hr) = Desired dose (mg/hr) / Available concentration (mg/mL) = 150 mg/hr / 10 mg/mL = 15 mL/hr.